P31_034 - 34. The magnetic field B can be expressed as B...

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Unformatted text preview: 34. The magnetic field B can be expressed as B (t) = B0 + B1 sin(ωt + φ0 ) , where B0 = (30.0 T + 29.6 T)/2 = 29.8 T and B1 = (30.0 T − 29.6 T)/2 = 0.200 T. Then from Eq. 31-27 E= 1 2 dB dt r= 1 rd [B0 + B1 sin(ωt + φ0 )] = B1 ωr cos(ωt + φ0 ) . 2 dt 2 We note that ω = 2πf and that the factor in front of the cosine is the maximum value of the field. Consequently, Emax = 1 1 B1 (2πf )r = (0.200 T)(2π )(15 Hz)(1.6 × 10−2 m) = 0.15 V/m . 2 2 ...
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